The term "Home Based" simply means it assumes you don't have domain servers that provide DNS and DHCP to your LAN computers. Since you do have domain servers with DHCP and DNS, you need to prevent your "Home Based" router from providing these services.
Your wireless router may be trying to supply DHCP to your clients that have wireless cards on thier computers. In doing so, by default, it will also try to supply DNS. This is how most home based routers are configured.
It's not the DHCP part that knocks them down unless your server sees it as a rogue DHCP server. The problem is the DNS part when dealing with email. The preferred DNS servers on your "HOME BASED" router will be outside servers. So, they skip the domain servers for DNS if your wireless router is supplying DHCP.
Prevent your home based wireless router from providing DHCP to any of its clients, give it a fixed IP and make sure Its preferred DNS servers and default gateway are your servers and gateway.
Most laptops come with a wireless cards and will see that router and try to get an IP from it. So, all DNS, Gateway, and DHCP will come from that and may override your Wired LAN.